What is the Least Common Multiple of 51630 and 51645?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 51630 and 51645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51630 and 51645, than apply into the LCM equation.

GCF(51630,51645) = 15
LCM(51630,51645) = ( 51630 × 51645) / 15
LCM(51630,51645) = 2666431350 / 15
LCM(51630,51645) = 177762090

Least Common Multiple (LCM) of 51630 and 51645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51630 and 51645. First we will calculate the prime factors of 51630 and 51645.

Prime Factorization of 51630

Prime Factorization of 51645

Now multiplying the highest exponent prime factors to calculate the LCM of 51630 and 51645.

LCM(51630,51645) = 2¹ × 3¹ × 5¹ × 1721¹ × 11¹ × 313¹
LCM(51630,51645) = 177762090